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Angle of fuzzy dice when moving Just want to check

  1. Aug 11, 2012 #1
    1. The problem statement, all variables and given/known data
    a pair of fuzzy dice hang from your mirror. While you accelerate from a stop on a horizontal surface to 28 m/s in 6 s, what angle θ does the string make with the vertical?

    2. Relevant equations

    tan θ = Y/X

    a = ΔV / Δt

    3. The attempt at a solution

    Just want a double check:

    So we can use the accelerations to figure out the angle....

    Ay = 9.8 m/s^2

    Ax = (Δ V)/ Δ (t) = (28 m/s - 0)/(6 - 0) = 4.7 m/s^2

    tan θ = 4.7 / 9.8 = 25.6°
     
  2. jcsd
  3. Aug 11, 2012 #2

    gneill

    User Avatar

    Staff: Mentor

    Your method is correct. Two things to keep in mind:
    1. Don't be too free with the "=" symbol; the angle is not the same as the tan of the angle.
    2. Keep a few extra decimal places in intermediate results and only round at the end for the final value.
     
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